Question

Gallup tracks daily the percentage of Americans who approve or disapprove of the job Barack Obama is doing as President. Daily results are based on telephone interviews with approximately 1500 national adults. The Gallup Poll conducted April 29-May 1, 2013, reported that 50% of adults approve of Obama. At a comparable time in his second term, George W. Bush had an approval rating of 51%. A news anchor remarks that “Obama doesn’t even get as much approval as Bush did.” Is there evidence that the difference is real?
State and test the appropriate hypotheses. Check conditions.